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Assimptotic Behavior for parabolic problems in Dumbbell domains

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Author(s):
German Jesus Lozada Cruz
Total Authors: 1
Document type: Doctoral Thesis
Press: São Carlos. , ilustrações, tabelas.
Institution: Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB)
Defense date:
Examining board members:
Alexandre Nolasco de Carvalho; Orlando Francisco Lopes; Arnaldo Simal do Nascimento; Luiz Augusto Fernandes de Oliveira; Jose Gaspar Ruas Filho
Advisor: Alexandre Nolasco de Carvalho
Field of knowledge: Physical Sciences and Mathematics - Mathematics
Indexed in: Banco de Dados Bibliográficos da USP-DEDALUS
Location: Universidade de São Paulo. Instituto de Ciências Matemáticas e de Computação. Biblioteca Prof. Achille Bassi; C957ca
Abstract

The aim of this work is to study the asymptotic dynamics of parabolic problems in dumbbell type domains. To that end firstly, we study upper semicontinuity of attractors for parabolic problems with homogeneous Neumann boundary conditions and afterwards we study the existence of stable nonconstant equilibria for reaction-diffusion problems with nonlinear Neumann boundary conditions. (AU)